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Mathematics 70 Online
hardlyhuman:

Geometry question, please help.

hardlyhuman:

1 attachment
Shadow:

How do you think we should tackle this?

hardlyhuman:

counting the boxes?

Shadow:

Hmm, which ones

hardlyhuman:

the whole ones

hardlyhuman:

the ones inside the shape

Shadow:

What shape?

Shadow:

We have a polygon, but there are shapes within the polygon.

hardlyhuman:

VEDR is 30 I just can't figure out for the triangle VRM

Shadow:

Did you count all the boxes in VEDR? ._.

hardlyhuman:

yes

Shadow:

What shape is VEDR?

hardlyhuman:

rectangle

Shadow:

The area of a rectangle is solved by multiplying it's length by it's width. Line ED is 6 blocks long, like DR is 5 blocks long. 5 x 6 = 30 You don't need to count all the boxes xD

Shadow:

This assignment is meant to test your knowledge of shapes and what formulas apply to them

Shadow:

Now we have the area of the rectangle, but we need the area of the triangle in order to solve. How do you think we do that one?

hardlyhuman:

multiply the length of the sides

Shadow:

What sides?

hardlyhuman:

VM and MR

hardlyhuman:

and VR

Shadow:

Hmm, that wouldn't give us the area of the triangle. Do you know the formula for the area of a triangle?

hardlyhuman:

1 attachment
Shadow:

\[A = \frac{ base \times height }{ 2 }\]

hardlyhuman:

okay

Shadow:

How would we apply that here?

hardlyhuman:

3x5/2?

Shadow:

You're breaking it up into two triangles?

hardlyhuman:

how would you do it then

Shadow:

What is the base of the triangle?

hardlyhuman:

3 im assuming

Shadow:

What line is the base of the triangle?

hardlyhuman:

VM?

hardlyhuman:

how long is it then?

Shadow:

Since it isn't a straight line, we can't use it. We can use the distance formula to solve for it, but that is a lot of work that we don't need to do. Could interpret line VR as the base?

hardlyhuman:

this is supposed to be a 5 question quiz that takes no longer then 15 minutes. we've been on this question for 30 minutes now. i dont have time to be sitting here for 2 hours just to be able to get the answer right. could you maybe hurry up explaining please? you could have given me the correct base 10 minutes ago. and yes

Shadow:

VR is the base. Count how many boxes 'long' it is, and you get 6. If that's the base, then point M is the highest point. Count how high(from point M to (-2, 2), and you get 3. \[A = \frac{ base \times height }{ 2 }\] \[A = \frac{ 6 \times 3 }{ 2 }\] \[A = \frac{ 18 }{ 2 } = 9\] We could have solve it your way, and separated it into two triangles. It's more work, but we could use it to check ours. First triangle, V, M, (-2, 2) Base = 1, Height = 3 \[A = \frac{ 3 \times 1 }{ 2 } = 1.5\] Second Triangle, M, R, (-2, 2) Base = 5, Height = 3 \[A = \frac{ 5 \times 3 }{ 2 } \frac{ 15 }{ 2 } = 7.5\] 7.5 + 1.5 = 9 9 + 30 = 39units

hardlyhuman:

Thank you

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